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Finding the Fourth Proportional to 301,696.94, 452,603.76 and 114,693.86

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Solution

The fourth proportional to 301,696.94, 452,603.76 and 114,693.86 is: 172,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,696.94 : 452,603.76 = 114,693.86 : x
  2. Step 2: Convert to fraction form
    301,696.94/452,603.76 = 114,693.86/x
  3. Step 3: Cross multiply
    301,696.94x = 452,603.76 × 114,693.86
  4. Step 4: Simplify right side
    301,696.94x = 51,910,872,284.91
  5. Step 5: Solve for x
    x = 51,910,872,284.91/301,696.94
  6. Step 6: Final answer
    x = 172,062.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.